In the Bohr model of hydrogen atom, the electron is treated...

In the Bohr model of hydrogen atom, the electron is treated as a particle going in a circle with the centre at the proton. The proton itself is assumed to be fixed in an inertial frame. The centripetal force is provided by the Coloumb attraction. In the ground state, the electron goes round the proton in a circle of radius $5: 3 \times

Key Concepts

Bohr Model

The Bohr model is a semi-classical theory of the atom where electrons are depicted as particles moving in fixed, circular orbits around the nucleus. This model was instrumental in explaining the discrete spectral lines of hydrogen by postulating that only certain orbits corresponding to quantized energy levels are allowed.

Fixed Nucleus Approximation

In many atomic models, including the Bohr model, the nucleus (or proton in the hydrogen atom) is assumed to be immobile due to its much larger mass compared to the electron. This approximation simplifies the analysis by allowing the electron's motion to be studied in a fixed, inertial frame with the nucleus at the center.

Coulomb Force

The Coulomb force describes the electrostatic attraction (or repulsion) between charged particles. In the context of the hydrogen atom, it is the attractive force between the negatively charged electron and the positively charged proton that provides the necessary force to keep the electron in its orbit.

Centripetal Force

Centripetal force is the inward force required to keep an object moving in a circular path. In the Bohr model of the hydrogen atom, the electrostatic (Coulomb) attraction between the electron and the proton acts as the centripetal force that maintains the electron’s circular orbit around the nucleus.

Quantization of Angular Momentum

A cornerstone of the Bohr model is the idea that an electron's angular momentum is quantized. This means that only certain discrete values of angular momentum are allowed, and it is typically expressed as L = n?, where n is an integer and ? is the reduced Planck constant. This quantization leads directly to the concept of discrete energy levels in atoms.

Ground State

The ground state of an atom refers to its lowest energy state. In the Bohr model, this is associated with the smallest allowed orbit of the electron, where the energy is at its minimum. This state serves as the reference point for calculating the energy levels of excited states.

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